Title
Two-machine flow shops with limited machine availability
Abstract
This paper studies a flow shop where machines have some periods of limited availability. The limited availability may be due to preschedules, preventive maintenance, or overlap of two consecutive time horizons in the rolling time horizon planning algorithm. It is shown that the problem of minimizing makespan in such a flow shop is NP-hard in the strong sense, and that no polynomial time heuristic with constant relative error exists for the problem unless P=NP. Some important properties of optimal schedules are proved for two-machine flow shops. A branch and bound algorithm based on these properties is proposed, and results of computational experiments with the algorithm are presented.
Year
DOI
Venue
2002
10.1016/S0377-2217(01)00083-2
European Journal of Operational Research
Keywords
Field
DocType
Scheduling theory,Flow shop systems,Non-availability periods,Schedule makespan
Heuristic,Mathematical optimization,Branch and bound,Time horizon,Job shop scheduling,Computer science,Flow shop scheduling,Schedule,Time complexity,Preventive maintenance,Operations management
Journal
Volume
Issue
ISSN
136
3
0377-2217
Citations 
PageRank 
References 
49
3.04
4
Authors
5
Name
Order
Citations
PageRank
Wieslaw Kubiak154062.61
Jacek Blazewicz21064154.23
Piotr Formanowicz328226.32
Joachim Breit41117.00
Günter Schmidt5879.93